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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x/0.09+(511.138-x)/0.13 = 5046.862 .
Question type: Equation
Solution:Original question:
| x | ÷ | 9 100 | + | ( | 255569 500 | − | x | ) | ÷ | 13 100 | = | 2523431 500 |
| Left side of the equation = | 100 9 | x | + | 255569 500 | × | 100 13 | − | x | × | 100 13 |
| = | 100 9 | x | + | 255569 65 | − | x | × | 100 13 |
| = | 400 117 | x | + | 255569 65 |
400 117 | x | + | 255569 65 | = | 2523431 500 |
Transposition :
400 117 | x | = | 2523431 500 | − | 255569 65 |
Combine the items on the right of the equation:
400 117 | x | = | 7247703 6500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7247703 6500 | ÷ | 400 117 |
| = | 7247703 6500 | × | 117 400 |
We obtained :
| x | = | 847981251 2600000 |
By reducing fraction, we can get:
| x | = | 65229327 200000 |
Convert the result to decimal form :
| x | = | 326.146635 |